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A. The final grades of students in six subjects where he was enrolled were taken and are shown below.
Subject No of units Final grade
Math 100 3 3.0
Lab science 5 1.5
Soc sci 101 3 2.25
Fil 100 2 2.5
P. E 1 3 2.75
NSTP 1 6 1.75
1. Determine his weighted mean grade.
2. If the subjects were equal to the number of units, what would college was average?
Find the coefficient of range of the following data relating to prices of shares of “PQR”
company during a week.
Rs. 22.75, 23.10, 23.50, 29.25, 24.50
The following are the prices in Rs. of different brands of television sets. Find the range of
prices and its coefficient.
Rs. 17850, 16990, 17500, 19850, 16650, 19300
Suppose that a doorway being constructed is to be used by a class of people
whose heights are normally distributed with mean 70 cms. and standard deviation 3
cms. How long may the doorway be without causing more than 25% of the people
to bump their heads? If the height of the doorway is fixed at 76 cms., how many
persons out of 5000 are expected to bump their heads? (Given Φ(2) = 0.4762).
A set of 7 fair coins was tossed 259 times and the frequency of throws
observed were as follows:
Number of Heads : 0 1 2 3 4 5 6 7
Frequency of throws : 3 7 23 62 63 53 37 11
Fit a binomial distribution and find mean and standard deviation of fitted
distribution.
For 10 observations on price (X) and supply (Y) the following data were
obtained (in appropriate units):
∑X = 130, ∑Y = 220, ∑X
2 = 2288, ∑Y
2 = 5506 and ∑XY = 3467.
Obtain the line of regression of Y on X and estimate the supply when the price is 16
units, and find out the standard error of the estimate.
A student has committed the errors which follows the Poisson distribution
with an average rate of 1.5 errors per class.
i) What is the probability that she makes at least 3 errors during one class?
ii) What is the probability that she has committed two ‘error-free’ classes in
the two weeks?
3.2 4.7 3.8 4.3 3.5 5.0 4.3 5.2 5.1 4.2
1.Constuct a frequency destribution mode.
2.Determined the interval where k=10.
3.Compute for mean,median ,mode ,variance and standard deviation of grouped date
They sell lottery tickets at the kiosk. A single lottery ticket wins with a probability of 0.45. With
likelihood
a) all bets win
b) at least one lot wins
c) exactly two lotteries win?
Ben throws the ball to Lana. After T seconds of throwing, the height of the ball (m)
from the ground surface, the function h(t) = -1.7t2 + 4,6t + 1,8
a) How high is the ball 2 seconds after the throw?
b) Lana can't catch the ball. How long before the ball hits the ground?
c) At what time is the ball peaking? What is the altitude of the ball in this case?
